Network Firewall Dynamics and the Subsaturation Stabilization of HIV

Network Firewall Dynamics and the Subsaturation Stabilization of HIV
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DOI:
10.1155/2013/720818
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发表时间:
2013-01-01
影响因子:
1.4
通讯作者:
Friedman, Samuel
Friedman, Samuel
中科院分区:
数学4区
文献类型:
--
作者:
Khan, Bilal;Dombrowski, Kirk;Friedman, Samuel

文献摘要

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2001年,Friedman等人证实了“防火墙效应”的存在,即感染艾滋病毒但仍处于低传染性状态的个体有助于防止病毒传播。为了评估这一历史猜想,我们开发了一种新的图论措施,量化弗里德曼的防火墙假设(FH)在风险网络中的程度。我们在一个随机离散动态系统的模拟轨迹上计算了这个新的度量,该系统模拟了一个由25,000名参与风险行为的个人组成的社会网络,时间跨度为15年。该模型的参数是基于对纽约市注射毒品者(PWID)现实世界风险网络先前研究中收集的数据进行分析。系统轨迹的分析揭示了具有成熟HIV感染的个体倾向于将网络划分为同质集群(相对于感染状态)的结构机制,以及未感染集群如何在长时间内保持相对稳定(相对于感染状态)。我们证实了网络防火墙在系统中的自发出现,并揭示了它们在艾滋病毒非传播中的结构性作用。
In 2001, Friedman et al. conjectured the existence of a "firewall effect" in which individuals who are infected with HIV, but remain in a state of low infectiousness, serve to prevent the virus from spreading. To evaluate this historical conjecture, we develop a new graph-theoretic measure that quantifies the extent to which Friedman's firewall hypothesis (FH) holds in a risk network. We compute this new measure across simulated trajectories of a stochastic discrete dynamical system that models a social network of 25,000 individuals engaging in risk acts over a period of 15 years. The model's parameters are based on analyses of data collected in prior studies of the real-world risk networks of people who inject drugs (PWID) in New York City. Analysis of system trajectories reveals the structural mechanisms by which individuals with mature HIV infections tend to partition the network into homogeneous clusters (with respect to infection status) and how uninfected clusters remain relatively stable (with respect to infection status) over long stretches of time. We confirm the spontaneous emergence of network firewalls in the system and reveal their structural role in the nonspreading of HIV.